# Entanglement formation under random interactions

@article{Wick2015EntanglementFU, title={Entanglement formation under random interactions}, author={Christoph Wick and Jaegon Um and Haye Hinrichsen}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2015}, volume={49} }

The temporal evolution of the entanglement between two qubits evolving by random interactions is studied analytically and numerically. Two different types of randomness are investigated. Firstly we analyze an ensemble of systems with randomly chosen but time-independent interaction Hamiltonians. Secondly we consider the case of a temporally fluctuating Hamiltonian, where the unitary evolution can be understood as a random walk on the SU(4) group manifold. As a by-product we compute the metric…

## One Citation

## References

SHOWING 1-10 OF 18 REFERENCES

Distance dependence of entanglement generation via a bosonic heat bath.

- PhysicsPhysical review letters
- 2009

It is concluded that entanglement generation via a heat bath is not suitable for entangling remote objects because it is extremely distance-sensitive and exponentially suppressed with a decay length of order lambda.

Entanglement of Formation of an Arbitrary State of Two Qubits

- Physics
- 1998

The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average…

Typical entanglement in multiple-qubit systems

- Physics
- 2002

Quantum entanglement and its paradoxical properties hold the key to an information processing revolution. Much attention has focused recently on the challenging problem of characterizing…

A parametrization of bipartite systems based on SU(4) Euler angles

- Mathematics
- 2002

In this paper we give an explicit parametrization for all two-qubit density matrices. This is important for calculations involving entanglement and many other types of quantum information processing.…

Random pure quantum states via unitary Brownian motion

- Mathematics
- 2012

We introduce a new family of probability distributions on the set of pure states of a finite dimensional quantum system. Without any a priori assumptions, the most natural measure on the set of pure…

Central Limit Theorems for the Brownian motion on large unitary groups

- Mathematics
- 2009

In this paper, we are concerned with the large N limit of linear combinations of the entries of a Brownian motion on the group of N by N unitary matrices. We prove that the process of such a linear…

Entropy of an n‐system from its correlation with a k‐reservoir

- Mathematics
- 1978

Let a random pure state vector be chosen in nk‐dimensional Hilbert space, and consider an n‐dimensional subsystem’s density matrix P. P will usually be close to the totally unpolarized mixed state if…

A composite parameterization of unitary groups, density matrices and subspaces

- Mathematics
- 2010

Unitary transformations and density matrices are central objects in quantum physics and various tasks require to introduce them in a parameterized form. In this paper we present a parameterization of…

Possible generalization of Boltzmann-Gibbs statistics

- Physics
- 1988

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the…